Generalized rational approximation in interpolating subspaces of Lp(μ) |
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| Authors: | J. H. Freilich |
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| Affiliation: | Department of Mathematics, Imperial College, University of London, London S. W. 7, England |
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| Abstract: | We extend the geometric approach of Cheney and Loeb in [2] to the problem of approximation in Lp(μ) by “admissable” generalized rational functions. We obtain a characterization for locally best approximations and find the interpolating condition sufficient for their local unicity. Our results are comparable to those for the linear approximation problem as investigated by Singer and Ault, Deutsch, Morris, and Olson. |
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